N.Y. Envtl. Conserv. Law § 24-0507
Except as provided in this article, jurisdiction over all areas which would qualify as freshwater wetlands except that they are not designated as such on the freshwater wetlands map pursuant to section 24-0301 of this article because they are less than twelve and four-tenths acres in size and are not of unusual local importance is reserved to the city, town or village in which they are wholly or partially located, and the implementation of this article with respect thereto is the responsibility of said city, town or village, in accordance with section 24-0501 and title twenty-three of article seventy-one of this chapter, except that a city, town or village in the exercise of its powers under this section, shall not be subject to the provisions of subdivision four of section 24-0501, subdivisions two and three of section 24-0503, or section 24-0505 of this article.
N.Y. Envtl. Conserv. Law § 24-0507